Is {(1, 2); (2, 3); (3, 4); (4, 5)} a function?

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Answer 1 · 2018-07-18T02:41:32

Yes

We see that $y$ $y$ is always equal to one more than $x$ $x$ , so we can model this with the equation

$y = x + 1$ $y=x+1$

We can even graph this:

graph{y=x+1 [-10, 10, -5, 5]}

This passes the Vertical Line Test (VLT), as we can draw a vertical line anywhere in the graph, and it intersects the graph once.

This tells us we're dealing with a function here.

Hope this helps!